Question

A sequence of potential differences v is applied across a wire (diameter = 0.32 mm, length = 11 cm) and the resulting currents i are measured as follows:

Answer 1

To calculate the magnitude of current flowing through a wire, use Ohm's law and the resistance of the wire. The resistance can be calculated using the formula for a cylindrical conductor. Finally, use the given drift velocity as the voltage in Ohm's law.

Step-by-step explanation:

In this question, the student is asked about the magnitude of current flowing through a 14-gauge copper wire with a diameter of 1.628 mm when the drift velocity is 1.00 mm/s. To solve this, we can use Ohm's law, which states that current is equal to voltage divided by resistance. The resistance of a wire can be calculated using the formula for the resistance of a cylindrical conductor, which is R = (ρL) / A, where ρ is the resistivity of copper, L is the length of the wire, and A is the cross-sectional area of the wire.

First, we can determine the cross-sectional area of the wire using its diameter. The diameter is given as 1.628 mm, so the radius can be calculated as half of the diameter, which is 0.814 mm. The cross-sectional area can then be calculated using the formula A = πr^2.

Next, we can use the formula for resistance to calculate the resistance of the wire, using the values for resistivity (ρ) and length (L) provided in the question. Finally, we can use Ohm's law (I = V/R) to calculate the magnitude of the current flowing through the wire using the given drift velocity as the voltage.